An adaptive LMS filtering system is proposed for computing the Discrete Walsh Transform (DWT). The signal to be transformed serves as the 'desired signal' for the adaptive filter, while a set of periodic Walsh sequences serve as the input signal vector for the adaptive filter. The weights of the adaptive filter provide the DWT. The given approach is more efficient in terms of the required computations and memory locations compared with the direct approach. In contract with existing Fast DWT algorithm, the proposed solution provides more flexibility as far as the signal block length is concerned. In other words, the proposed approach is not restricted to a block length N to be of power 2.
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Jiangtao XI, Joe F. CHICHARO, "On the Relationship between Discrete Walsh Transform and the Adaptive LMS Algorithm" in IEICE TRANSACTIONS on Fundamentals,
vol. E77-A, no. 7, pp. 1199-1201, July 1994, doi: .
Abstract: An adaptive LMS filtering system is proposed for computing the Discrete Walsh Transform (DWT). The signal to be transformed serves as the 'desired signal' for the adaptive filter, while a set of periodic Walsh sequences serve as the input signal vector for the adaptive filter. The weights of the adaptive filter provide the DWT. The given approach is more efficient in terms of the required computations and memory locations compared with the direct approach. In contract with existing Fast DWT algorithm, the proposed solution provides more flexibility as far as the signal block length is concerned. In other words, the proposed approach is not restricted to a block length N to be of power 2.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e77-a_7_1199/_p
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@ARTICLE{e77-a_7_1199,
author={Jiangtao XI, Joe F. CHICHARO, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={On the Relationship between Discrete Walsh Transform and the Adaptive LMS Algorithm},
year={1994},
volume={E77-A},
number={7},
pages={1199-1201},
abstract={An adaptive LMS filtering system is proposed for computing the Discrete Walsh Transform (DWT). The signal to be transformed serves as the 'desired signal' for the adaptive filter, while a set of periodic Walsh sequences serve as the input signal vector for the adaptive filter. The weights of the adaptive filter provide the DWT. The given approach is more efficient in terms of the required computations and memory locations compared with the direct approach. In contract with existing Fast DWT algorithm, the proposed solution provides more flexibility as far as the signal block length is concerned. In other words, the proposed approach is not restricted to a block length N to be of power 2.},
keywords={},
doi={},
ISSN={},
month={July},}
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TY - JOUR
TI - On the Relationship between Discrete Walsh Transform and the Adaptive LMS Algorithm
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1199
EP - 1201
AU - Jiangtao XI
AU - Joe F. CHICHARO
PY - 1994
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E77-A
IS - 7
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - July 1994
AB - An adaptive LMS filtering system is proposed for computing the Discrete Walsh Transform (DWT). The signal to be transformed serves as the 'desired signal' for the adaptive filter, while a set of periodic Walsh sequences serve as the input signal vector for the adaptive filter. The weights of the adaptive filter provide the DWT. The given approach is more efficient in terms of the required computations and memory locations compared with the direct approach. In contract with existing Fast DWT algorithm, the proposed solution provides more flexibility as far as the signal block length is concerned. In other words, the proposed approach is not restricted to a block length N to be of power 2.
ER -